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Finding the Third Proportional to 83,941,650 and 180,637,882.31

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Solution

The third proportional to 83,941,650 and 180,637,882.31 is: 388,722,934.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,941,650 : 180,637,882.31 = 180,637,882.31 : x
  2. Step 2: Convert to fraction form
    83,941,650/180,637,882.31 = 180,637,882.31/x
  3. Step 3: Cross multiply
    83,941,650x = 180,637,882.31 × 180,637,882.31
  4. Step 4: Simplify right side
    83,941,650x = 32,630,044,526,344,600
  5. Step 5: Solve for x
    x = 32,630,044,526,344,600/83,941,650
  6. Step 6: Final answer
    x = 388,722,934.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.